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010   $a9786611491239
010   $a3-7643-8614-2
024 7 $a10.1007/978-3-7643-8614-6
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035   $a(EBL)367551
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035   $a(DE-He213)978-3-7643-8614-6
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100   $a20071207d2008      uy         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 04$aThe mathematics of Minkowski space-time$b[electronic resource] $ewith an introduction to commutative hypercomplex numbers /$fFrancesco Catoni ... [et al.]
205   $a1st ed. 2008.
210   $aBasel ;$aBoston $cBirkha?user$dc2008
215   $a1 online resource (271 p.)
225 1 $aFrontiers in mathematics
300   $aDescription based upon print version of record.
311   $a3-7643-8613-4 
320   $aIncludes bibliographical references and index.
327   $aN-Dimensional Commutative Hypercomplex Numbers -- The Geometries Generated by Hypercomplex Numbers -- Trigonometry in the Minkowski Plane -- Uniform and Accelerated Motions in the Minkowski Space-Time (Twin Paradox) -- General Two-Dimensional Hypercomplex Numbers -- Functions of a Hyperbolic Variable -- Hyperbolic Variables on Lorentz Surfaces -- Constant Curvature Lorentz Surfaces -- Generalization of Two-Dimensional Special Relativity (Hyperbolic Transformations and the Equivalence Principle).
330   $aHyperbolic numbers are proposed for a rigorous geometric formalization of the space-time symmetry of two-dimensional Special Relativity. The system of hyperbolic numbers as a simple extension of the field of complex numbers is extensively studied in the book. In particular, an exhaustive solution of the "twin paradox" is given, followed by a detailed exposition of space-time geometry and trigonometry. Finally, an appendix on general properties of commutative hypercomplex systems with four unities is presented.
410  0$aFrontiers in mathematics.
606   $aGeneralized spaces
606   $aSpecial relativity (Physics)
615  0$aGeneralized spaces.
615  0$aSpecial relativity (Physics)
676   $a516.374
701   $aCatoni$b Francesco$01687714
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910823268003321
996   $aThe mathematics of Minkowski space-time$94061403
997   $aUNINA